Prime p₀= 1248538967866959551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 58 2 70 2 76 2 88 2 (?)
a_n: 0 2 30 32 66 68 126 128 198 200 276 278 366 368
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 368
Found by: arkiss
db: batch=77, k=14, 28 34 58 70 76 88

TPT(14)	1248537312051001307	0 2 24 26 54 56 150 152 210 212 234 236 252 254	-1655815958244
SPT(16)	1248537393227667947	0 20 60 62 84 110 134 152 174 192 216 242 264 266 306 326	-1574639291604
SPT(16)	1248538319547443051	0 8 12 30 78 92 138 140 180 182 228 242 290 308 312 320	-648319516500
STPT(10)	1248538324400410007	0 2 30 32 42 44 54 56 84 86	-643466549544
SPT(16)	1248538560819902063	0 8 18 54 60 78 138 174 194 230 290 308 314 350 360 368	-407047057488
SPT(16)	1248538871570763161	0 6 8 12 42 50 68 86 102 120 138 146 176 180 182 188	-96296196390
STPT(10)	1248538990722410417	0 2 30 32 60 62 90 92 120 122	22855450866
SPT(16)	1248539030247808337	0 20 42 80 86 90 132 146 150 164 206 210 216 254 276 296	62380848786
SPT(16)	1248539071510319111	0 12 42 50 102 108 120 180 248 308 320 326 378 386 416 428	103643359560
SPT(16)	1248539266389885007	0 40 42 72 94 124 132 150 226 244 252 282 304 334 336 376	298522925456
STPT(10)	1248539402648989037	0 2 30 32 72 74 114 116 144 146	434782029486